Answer:
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Step-by-step explanation:
A line with slope m = -1/5 passes through the points (x, 7) and (11, 8). Find the value of x.
The slope of the line through these two points is found from the slope formula and is:
8 - 7
m = ----------- and the value of m is given as -1/5. Therefore,
11 - x
1
m = ----------- = -1/5
11 - x
Cross-multiplying, we get (1)(5) = -(11 - x), or 5 = -11 + x. Then x = 16
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
